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Finding the Third Proportional to 128,390.88 and 286,286.75

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Solution

The third proportional to 128,390.88 and 286,286.75 is: 638,363.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,390.88 : 286,286.75 = 286,286.75 : x
  2. Step 2: Convert to fraction form
    128,390.88/286,286.75 = 286,286.75/x
  3. Step 3: Cross multiply
    128,390.88x = 286,286.75 × 286,286.75
  4. Step 4: Simplify right side
    128,390.88x = 81,960,103,225.56
  5. Step 5: Solve for x
    x = 81,960,103,225.56/128,390.88
  6. Step 6: Final answer
    x = 638,363.93

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.